Messi has been training with the French club for two weeks but did not feature in the recent games against Strasbourg and Brest.
PSG have been able to win their opening three games without the Messi and Neymar, but the former FC Barcelona star could be ready to suit up against Reims next weekend.
"It's been a very good week for Leo," Pochettino told ESPN Argentina.
"Next week will be a long one, but if all goes well, we hope he can be in the squad and start at a competitive level [against Reims]."
When asked if Messi would honour a call-up to the national side, he added: "I have not yet spoken with the selectors.
"But they know that I am pro-selection and that we are to help not only Argentina, but all those nations which involve our players."
Pochettino's charges currently sit top of Ligue 1 with a perfect record so far.
